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| Construction of optimal supersaturated designs by the packing method | |
| 引用本文： | FANG Kaitai,GE Gennian & LIU MinqianDepartment of Mathematics,Hong Kong Baptist University,Hong Kong,China Department of Mathematics,Zhejiang University,Hangzhou 310027,China Department of Statistics,Nankai University,Tianjin 300071,China. Construction of optimal supersaturated designs by the packing method[J]. 中国科学A辑(英文版), 2004, 47(1): 128-143. DOI: 10.1360/02ys0271 |
| 作者姓名： | FANG Kaitai GE Gennian & LIU MinqianDepartment of Mathematics Hong Kong Baptist University Hong Kong China Department of Mathematics Zhejiang University Hangzhou 310027 China Department of Statistics Nankai University Tianjin 300071 China |
| 作者单位： | FANG Kaitai，GE Gennian & LIU MinqianDepartment of Mathematics，Hong Kong Baptist University，Hong Kong，China Department of Mathematics，Zhejiang University，Hangzhou 310027，China Department of Statistics，Nankai University，Tianjin 300071，China |
| 摘 要： | A supersaturated design is essentially a factorial design with the equal occurrence of levels property and no fully aliased factors in which the number of main effects is greater than the number of runs. It has received much recent interest because of its potential in factor screening experiments. A packing design is an important object in combinatorial design theory. In this paper, a strong link between the two apparently unrelated kinds of designs is shown. Several criteria for comparing supersaturated designs are proposed, their properties and connections with other existing criteria are discussed. A combinatorial approach, called the packing method, for constructing optimal supersaturated designs is presented, and properties of the resulting designs are also investigated. Comparisons between the new designs and other existing designs are given, which show that our construction method and the newly constructed designs have good properties. |
| 收稿时间： | 2007-08-20 |
Construction of optimal supersaturated designs by the packing method |
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| FANG Kaitai,GE Gennian,LIU Minqian. Construction of optimal supersaturated designs by the packing method[J]. Science in China(Mathematics), 2004, 47(1): 128-143. DOI: 10.1360/02ys0271 | |
| Authors: | FANG Kaitai GE Gennian LIU Minqian |
| Affiliation: | 1. Department of Mathematics, Hong Kong Baptist University, Hong Kong, China 2. Department of Mathematics, Zhejiang University, Hangzhou 310027, China 3. Department of Statistics, Nankai University, Tianjin 300071, China |
| Abstract: | A supersaturated design is essentially a factorial design with the equal occurrence of levels property and no fully aliased factors in which the number of main effects is greater than the number of runs. It has received much recent interest because of its potential in factor screening experiments. A packing design is an important object in combinatorial design theory. In this paper, a strong link between the two apparently unrelated kinds of designs is shown. Several criteria for comparing supersaturated designs are proposed, their properties and connections with other existing criteria are discussed. A combinatorial approach, called the packing method, for constructing optimal supersaturated designs is presented, and properties of the resulting designs are also investigated. Comparisons between the new designs and other existing designs are given, which show that our construction method and the newly constructed designs have good properties. |
| Keywords: | Kirkman triple systems orthogonality packing design resolvability supersaturated design. |
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